SIAM Journal on Scientific Computing· 2026Q1
Asymptotic-Preserving Schemes for the Initial-Boundary Value Problem of Hyperbolic Relaxation Systems
- 0citations
- Q1SCImago
- 2026year
Short summary
A new numerical method directly solves hyperbolic relaxation systems for initial-boundary value problems (IBVPs) on coarse meshes, accurately capturing equilibrium behavior and boundary layers.
AI-generated from the title and abstract; the full text is not read.
Key points
- Presents a numerical method for hyperbolic relaxation IBVPs with source terms.
- Directly solves the relaxation system on coarse meshes.
- Accurately captures equilibrium behavior and boundary layers.
- Extends asymptotic-preserving (AP) schemes to IBVPs.
- Designs a unified scheme for interface problems of relaxation systems.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract. In this work, we present a numerical method for the initial-boundary value problem (IBVP) of first-order hyperbolic systems with source terms. The scheme directly solves the relaxation system using a relatively coarse mesh and captures the equilibrium behavior quite well, even in the presence of boundary layers. This method extends the concept of asymptotic-preserving schemes from initial-value problems (IVPs) to IBVPs. Moreover, we apply this idea to design a unified numerical scheme for the interface problem of relaxation systems.
The authors' abstract, as published at the source. SIAM Journal on Scientific Computing, 2026 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Numerical Analysis
Numerical AnalysisMathematics